Area of Composite Figures

Front

What is a composite figure?

Back

A composite figure is a shape that is made up of two or more simple geometric shapes, such as rectangles, triangles, and circles.

Tags

CCSS.1.G.A.2

Front

How do you find the area of a composite figure?

Back

To find the area of a composite figure, divide it into simpler shapes, calculate the area of each shape, and then sum those areas.

Tags

CCSS.3.MD.C.7D

Front

What is the formula for the area of a rectangle?

Back

The area of a rectangle is calculated using the formula: Area = length × width.

Tags

CCSS.3.MD.C.7B

CCSS.4.MD.A.3

Front

What is the formula for the area of a triangle?

Back

The area of a triangle is calculated using the formula: Area = 1/2 × base × height.

Tags

CCSS.6.G.A.1

Front

What is the formula for the area of a circle?

Back

The area of a circle is calculated using the formula: Area = π × radius².

Tags

CCSS.7.G.B.4

Front

If a rectangle has a length of 10 cm and a width of 5 cm, what is its area?

Back

Area = 10 cm × 5 cm = 50 cm².

Tags

CCSS.3.MD.C.7B

CCSS.4.MD.A.3

Front

If a triangle has a base of 8 cm and a height of 5 cm, what is its area?

Back

Area = 1/2 × 8 cm × 5 cm = 20 cm².

Tags

CCSS.6.G.A.1

Front

What is the area of a circle with a radius of 3 cm?

Back

Area = π × (3 cm)² ≈ 28.27 cm².

Tags

CCSS.7.G.B.4

Front

How do you find the area of a shaded region in a composite figure?

Back

To find the area of a shaded region, calculate the area of the entire figure and subtract the area of the unshaded part.

Tags

CCSS.3.MD.C.7D

Front

What is the area of a composite figure made of a rectangle (length 6 cm, width 4 cm) and a triangle (base 4 cm, height 3 cm)?

Back

Area = (6 cm × 4 cm) + (1/2 × 4 cm × 3 cm) = 24 cm² + 6 cm² = 30 cm².

Tags

CCSS.6.G.A.1